Examples of relative quantum cohomology
Kai Hugtenburg, Sara B. Tukachinsky
TL;DR
This paper computes the relative quantum cohomology for certain complete intersections and provides a complete calculation of genus zero open Gromov-Witten invariants for quadric hypersurfaces, advancing understanding in symplectic geometry.
Contribution
It introduces explicit computations of relative quantum cohomology and open Gromov-Witten invariants for specific geometric settings, which were previously not fully understood.
Findings
Explicit relative quantum cohomology for some complete intersections
Full computation of genus zero open Gromov-Witten invariants for quadric hypersurfaces
Advances in symplectic and enumerative geometry
Abstract
We compute the quantum cohomology relative to a Lagrangian submanifold in some complete intersections. For quadric hypersurfaces, we also give a full computation of the genus zero open Gromov-Witten invariants.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Combinatorial Mathematics · Commutative Algebra and Its Applications